Captain Kirk and Mr. Spock are engaged in a 3-D backgammon playoff, a game employing 6 dice. Kirk asks Spock the probability of rolling the dice and observing 6 sixes. Assume the dice are not biased. Spock's correct a priori reply is _________.
a. Insufficient data, Captain.
b. One-sixth to the sixth power, Sir. Translation: (1/6)6
c. One-thirtysixth, Sir.
d. One-thirtysix to the sixth power, Sir. (1/36)6
e. The probability is equal to (1/6)X(1/5)X(1/4)X(1/3)X (1/2)X(1/1), Sir. (1/720)
Question 2
A famous hypnotist performs in Meany Hall before a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one-half of the students and two-thirds of the non-students are hypnotizable. What is the probability that a randomly chosen person from the audience will be hypnotizable or will be a non-student?
a. 0.330 c. 0.869
b. 0.340 d. 0.670
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